Sequence and Series - Algebra -Integer Type Questions(JEE ADVANCED) Part 1

 Q.1

Correct Answer is: [5]  

Solution Explain:

Q.2

Correct Answer is: [41230]  

Solution Explain:

Q.3

Correct Answer is: [3]  

Solution Explain:

Q.4

Correct Answer is: [25]  

Solution Explain:

Q.5

Correct Answer is: [3748]  

Solution Explain:

Q.6

Correct Answer is: [-1]  

Solution Explain:

Q.7

Correct Answer is: [9]  

Solution Explain:

Q.8

Correct Answer is: [1320]  

Solution Explain:

Q.9

Correct Answer is: [4]  

Solution Explain:

Q.10

Correct Answer is: [5]  

Solution Explain:

Q.11

Correct Answer is: [2]  

Solution Explain:

Q.12

Correct Answer is: [27]  

Solution Explain:

Q.13

Correct Answer is: [5]  

Solution Explain:

Q.14

Correct Answer is: [8]  

Solution Explain:

Q.15

Correct Answer is: [3]  

Solution Explain:

Q.16

Correct Answer is: [10]  

Solution Explain:

Q.17

Correct Answer is: [120]  

Solution Explain:

Q.18

Correct Answer is: [2]  

Solution Explain:

Q.19

Correct Answer is: [1027]  

Solution Explain:

Q.20

Correct Answer is: [2808]  

Solution Explain:

Q.21

Correct Answer is: [0.75]  

Solution Explain:

Q.22

Correct Answer is: [2600]  

Solution Explain:

Q.23

Correct Answer is: [39]  

Solution Explain:

Q.24

Correct Answer is: [2]  

Solution Explain:

Q.25

Correct Answer is: [6]  

Solution Explain:

Q.26

Correct Answer is: [4095]  

Solution Explain:

Q.27

Correct Answer is: [331]  

Solution Explain:

Q.28

Correct Answer is: [226]  

Solution Explain:

Q.29

Correct Answer is: [4]  

Solution Explain:

Q.30

Correct Answer is: [4]  

Solution Explain:

Q.31

Correct Answer is: [0.5]  

Solution Explain:

Q.32

Correct Answer is: [11]  

Solution Explain:

Let colours of balloons are  and

Solve it by analogy

Consider the situation:

In this table distribution of balloon is such that each set has exactly 1 balloon which is unique in colour while the colour of other two balloons are shared at least once in one of the other sides.

In such case the worst scenario would be if we pick up the first 10 balloons and they all turn over to be different colours the 11th balloon has to be of a colour which has already be taken.

Thus, if we were to pick out 11 balloons, we would be sure of having at least two balloons of the same colours.

So, Correct answer is 11.

Q.33

Correct Answer is: [0.5]  

Solution Explain:

Q.34

Correct Answer is: [780]  

Solution Explain:

Q.35

Correct Answer is: [6]  

Solution Explain:

Q.36

Correct Answer is: [100]  

Solution Explain:

Q.37

Correct Answer is: [19]  

Solution Explain:

Q.38

Correct Answer is: [931]  

Solution Explain:

Q.39

Correct Answer is: [4]  

Solution Explain:

Q.40

Correct Answer is: [2012]  

Solution Explain: